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Recent contributions in the field of quantum state tomography have shown that, despite the exponential growth of Hilbert space with the number of subsystems, tomography of one-dimensional quantum systems may still be performed efficiently…

Quantum Physics · Physics 2013-07-19 Tillmann Baumgratz , David Gross , Marcus Cramer , Martin B. Plenio

Scanning tunneling microscopy (STM) has been a fundamental tool to characterize many-body effects in condensed matter systems, from extended solids to quantum dots. STM of molecules decoupled from the supporting conductive substrate has the…

Mesoscale and Nanoscale Physics · Physics 2011-01-14 Dimitrios Toroz , Massimo Rontani , Stefano Corni

The vicinal Si(111) surface, inclined towards the [-1-12] direction, was investigated by scanning tunnelling microscopy and spot profile analysing low energy electron diffraction. It has been established that the surface, consisting of…

Materials Science · Physics 2019-03-19 S. A. Teys , K. N. Romanyuk , R. A. Zhachuk , B. Z. Olshanetsky

Simulations of SiC crystal growth using molecular dynamics (MD) have become popular in recent years. They, however, simulate very fast deposition rates, to reduce computational costs. Therefore, they are more akin to surface sputtering,…

Materials Science · Physics 2025-12-25 Alexander Reichmann , Zahra Rajabzadeh , Sebastian Hofer , René Hammer , Lorenz Romaner

We demonstrate the capability of block-copolymer templating to tune the refractive indices of functional oxides over a broad range by structuring materials on the 20-1000 atoms scale, with simple one-pot synthesis. The presented method is…

Mesoscale and Nanoscale Physics · Physics 2020-04-08 Jacob Poole , Aidong Yan , Paul Ohodnicki , Kevin Chen

We have observed an aggregation of carbon or carbon derivatives on platinum and natively oxidized silicon surfaces during STM measurements in ultra-high vacuum on solvent-cleaned samples previously structured by e-beam lithography. We have…

Mesoscale and Nanoscale Physics · Physics 2012-08-28 Dominik Stöffler , Hilbert von Löhneysen , Regina Hoffmann

The atomic and electronic structure of positively charged P vacancies on InP(110) surfaces is determined by combining scanning tunneling microscopy, photoelectron spectroscopy, and density-functional theory calculations. The vacancy…

Materials Science · Physics 2009-10-31 Ph. Ebert , K. Urban , L. Aballe , C. H. Chen , K. Horn , G. Schwarz , J. Neugebauer , M. Scheffler

The microstructure analyses of porous media have considerable research value for the study of macroscopic properties. As the premise of conducting these analyses, the accurate reconstruction of microstructure digital model is also an…

Image and Video Processing · Electrical Eng. & Systems 2023-04-26 Zhenchuan Ma , Xiaohai He , Pengcheng Yan , Fan Zhang , Qizhi Teng

Surface reconstruction from point clouds is a fundamental problem in the computer vision and graphics community. Recent state-of-the-arts solve this problem by individually optimizing each local implicit field during inference. Without…

Computer Vision and Pattern Recognition · Computer Science 2021-08-30 Jiapeng Tang , Jiabao Lei , Dan Xu , Feiying Ma , Kui Jia , Lei Zhang

Seismic tomography solves high-dimensional optimization problems to image subsurface structures of Earth. In this paper, we propose to use random batch methods to construct the gradient used for iterations in seismic tomography.…

Numerical Analysis · Mathematics 2023-02-14 Yixiao Hu , Lihui Chai , Zhongyi Huang , Xu Yang

In this work, we consider constrained stochastic optimization problems under hidden convexity, i.e., those that admit a convex reformulation via non-linear (but invertible) map $c(\cdot)$. A number of non-convex problems ranging from…

Optimization and Control · Mathematics 2024-11-12 Ilyas Fatkhullin , Niao He , Yifan Hu

We develop a novel wave imaging scheme for reconstructing the shape of an inhomogeneous scatterer and we consider the inverse acoustic obstacle scattering problem as a prototype model for our study. There exists a wealth of reconstruction…

Analysis of PDEs · Mathematics 2020-01-08 Hongyu Liu , Xiaodong Liu , Xianchao Wang , Yuliang Wang

In this paper we address the problem of visual quality of images reconstructed from block-wise random projections. Independent reconstruction of the blocks can severely affect visual quality, by displaying artifacts along block borders. We…

Computer Vision and Pattern Recognition · Computer Science 2014-03-06 Giulio Coluccia , Diego Valsesia , Enrico Magli

In continuous-variable tomography, with finite data and limited computation resources, reconstruction of a quantum state of light is performed on a finite-dimensional subspace. No systematic method was ever developed to assign such a…

Multi-spectral CT (MSCT) is increasingly used in industrial non-destructive testing and medical diagnosis because of its outstanding performance like material distinguishability. The process of obtaining MSCT data can be modeled as…

Numerical Analysis · Mathematics 2023-06-28 Huiying Pan , Shusen Zhao , Weibin Zhang , Huitao Zhang , Xing Zhao

The determination of molecular orientations is crucial for the three-dimensional reconstruction of Cryo-EM images. Traditionally addressed using the common-line method, this challenge is reformulated as a self-consistency error minimization…

Optimization and Control · Mathematics 2024-11-22 Wanyu Zhang , Ruili Gou , Huikang Liu , Zhiguo Wang , Yinyu Ye

Scanning transmission electron microscopy (STEM) has become the technique of choice for quantitative characterization of atomic structure of materials, where the minute displacements of atomic columns from high-symmetry positions can be…

Materials Science · Physics 2021-10-05 Kevin M. Roccapriore , Nicole Creange , Maxim Ziatdinov , Sergei V. Kalinin

Scanning tunneling microscopy (STM) observations resolve the structure and dynamics of metallic glass Cu$_{100-x}$Hf$_{x}$ films and demonstrate STM control of aging at a metallic glass surface. Surface clusters exhibit heterogeneous…

Machine learning (ML) methods are extraordinarily successful at denoising photographic images. The application of such denoising methods to scientific images is, however, often complicated by the difficulty in experimentally obtaining a…

Surface reconstruction from magnetic resonance (MR) imaging data is indispensable in medical image analysis and clinical research. A reliable and effective reconstruction tool should: be fast in prediction of accurate well localised and…

Computer Vision and Pattern Recognition · Computer Science 2020-11-22 Katarína Tóthová , Sarah Parisot , Matthew Lee , Esther Puyol-Antón , Andrew King , Marc Pollefeys , Ender Konukoglu